If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8 , then the eccentricity is

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Aicharya · Accepted Answer

Here, $2 a e=6$ and $2 b=8 \Rightarrow b=4$ $\begin{aligned} & b^2=16 \ & \Rightarrow \quad a^2\left(1-e^2ight)=16 \ & \Rightarrow \quad \frac{9}{e^2}\left(1-e^2ight)=16 \ & \Rightarrow \quad 9-9 e^2=16 e^2 \ & \Rightarrow \quad 25 e^2=9 \ & \end{aligned}$ $\Rightarrow \quad e=\frac{3}{5}$

If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8 , then the…

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